Am I wrong?

I had my son 3 weeks ago. My bf went back to work a week ago. I don’t ask him for much of anything when he’s home although he’s been making supper some nights because I’ve come to the point where I’m too exhausted by the time he gets off work (10pm most nights- he works a lot of 3-close shifts) where if he wants anything more than something I can just throw in the oven, he’s gotta make it. Sometimes I’ll ask him to hang out with our son while I shower or pick up, otherwise I really don’t ask for much help bc I know he’s tired from work. Usually our son sleeps very well but last night he was up every hr since 6am. At 10am I gave up, I have a splitting headache so I changed his butt and fed him then left him in the room so I could make coffee. He was crying again so I went back there and calmed him down before I went to the bathroom. Already was crying again by the time I was done and my bf was laying in bed groaning how he just wants to sleep in bc it’s his first day off since he went back. I said I honestly don’t want to hear it, I’ve been dealing with him all morning, I didn’t get much of any sleep and I just ask that he quits being pissy. He starts raising his voice telling me he works 40 hrs a week he doesn’t have to do all this shit and to just put our son in the living room and let him sit out there and cry. I got really upset and told him that he is too little he is just crying bc it’s his time of day he is awake and wants to hang out and play. He then starts telling me no idk what I’m talking about and I need to change his butt or feed him. So I told him to just leave us alone and I took our son to the living room and burped him and he stopped. My bf is still trying to argue with me saying I’m not always right and since he works he should be allowed to sleep unbothered. And normally I would agree but it’s 10am, I am with our son 24/7, I clean the house, do all the laundry, pick up after my bf, and I can’t even shower unless my bf is home most days. I don’t ever get much of any sleep. I’m not complaining, I love my son and will do anything for him. He is my world. I’d just like some help when my bf is home. Is that asking too much? I’m on maternity leave btw, I have to go back to work full time at my job at 6 weeks and I worked full time before I had my son. I had to call in the day I had him to tell them I was going into labor. So it’s not like idk what its like to work.